Solve a+2-4/2000

$$a + 2 - \frac { 4 } { 2000 }$$

Evaluate

$$a = \frac{999}{500} = 1\frac{499}{500} = 1.998$$

Solution Steps

Reduce the fraction \frac{4}{2000} to lowest terms by extracting and canceling out 4.

$$a+2-\frac{1}{500}$$

Convert 2 to fraction \frac{1000}{500}.

$$a+\frac{1000}{500}-\frac{1}{500}$$

Since \frac{1000}{500} and \frac{1}{500} have the same denominator, subtract them by subtracting their numerators.

$$a+\frac{1000-1}{500}$$

Subtract 1 from 1000 to get 999.

$$a+\frac{999}{500}$$

Factor

$$\frac{500a+999}{500}$$

Solution Steps

Factor out \frac{1}{500}.

$$\frac{500a+999}{500}$$

Consider 500a+1000-1. Multiply and combine like terms.

$$500a+999$$

Rewrite the complete factored expression.

$$\frac{500a+999}{500}$$